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Finding the Fourth Proportional to 401,950.98, 602,040.74 and 224,016.66

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Solution

The fourth proportional to 401,950.98, 602,040.74 and 224,016.66 is: 335,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,950.98 : 602,040.74 = 224,016.66 : x
  2. Step 2: Convert to fraction form
    401,950.98/602,040.74 = 224,016.66/x
  3. Step 3: Cross multiply
    401,950.98x = 602,040.74 × 224,016.66
  4. Step 4: Simplify right side
    401,950.98x = 134,867,154,638.65
  5. Step 5: Solve for x
    x = 134,867,154,638.65/401,950.98
  6. Step 6: Final answer
    x = 335,531.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.